%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI006_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:33:51 AM UTC 2026
% Result : Theorem 0.07s 0.23s
% Output : Refutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI006_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n018.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:43:25 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.23 % (3738337)Will run a generic schedule for satisfiability detection.
% 0.07/0.23 % (3738348)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3842990253:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.07/0.23 % (3738348) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3738337-3738348"...
% 0.07/0.23 % (3738348)...printing done.
% 0.07/0.23 % (3738348)Refutation found. Thanks to Tanya!
% 0.07/0.23 % SZS status Theorem for theBenchmark
% 0.07/0.23 % SZS output start Proof for theBenchmark
% 0.07/0.23 tff(f1,conjecture,(
% 0.07/0.23 ? [X0 : $int,X1 : $int] : $less(X0,X1)),
% 0.07/0.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_something)).
% 0.07/0.23 tff(f2,negated_conjecture,(
% 0.07/0.23 ~ ? [X0 : $int,X1 : $int] : $less(X0,X1)),
% 0.07/0.23 inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/0.23 tff(f12,definition,(
% 0.07/0.23 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.07/0.23 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.07/0.23 tff(f15,plain,(
% 0.07/0.23 ! [X0 : $int,X1 : $int] : ~$less(X0,X1)),
% 0.07/0.23 inference(ennf_transformation,[],[f2])).
% 0.07/0.23 tff(f16,plain,(
% 0.07/0.23 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1)) )),
% 0.07/0.23 inference(cnf_transformation,[],[f15])).
% 0.07/0.23 tff(f29,plain,(
% 0.07/0.23 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1)) )),
% 0.07/0.23 inference(resolution,[],[f12,f16])).
% 0.07/0.23 tff(f34,plain,(
% 0.07/0.23 $false),
% 0.07/0.23 inference(resolution,[],[f29,f16])).
% 0.07/0.23 % SZS output end Proof for theBenchmark
% 0.07/0.23 % (3738348)------------------------------
% 0.07/0.23 % (3738348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.23 % (3738348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.23 % (3738348)CaDiCaL version: 2.1.3
% 0.07/0.23 % (3738348)Termination reason: Refutation
% 0.07/0.23 % (3738348)Time elapsed: 0.001 s
% 0.07/0.23 % (3738348)Peak memory usage: 12 MB
% 0.07/0.23 % (3738348)Instructions burned: 1 (million)
% 0.07/0.23 % (3738337)Success in time 0.016 s
% 0.07/0.23 % Vampire exiting
%------------------------------------------------------------------------------